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Last updated on May 29th, 2025

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Factors of 1198

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Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1198, how they are used in real life, and tips to learn them quickly.

Factors of 1198 for Filipino Students
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What are the Factors of 1198?

The numbers that divide 1198 evenly are known as factors of 1198.

 

A factor of 1198 is a number that divides the number without a remainder.

 

The factors of 1198 are 1, 2, 599, and 1198.

 

Negative factors of 1198: -1, -2, -599, and -1198.

 

Prime factors of 1198: 2 and 599.

 

Prime factorization of 1198: 2 × 599.

 

The sum of factors of 1198: 1 + 2 + 599 + 1198 = 1800

 

factors of 1198

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How to Find Factors of 1198?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  • Finding factors using multiplication
     
  • Finding factors using the division method
     
  • Prime factors and Prime factorization
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1198. Identifying the numbers which are multiplied to get the number 1198 is the multiplication method.

 

Step 1: Multiply 1198 by 1, 1198 × 1 = 1198.

 

Step 2: Check for other numbers that give 1198 after multiplying

2 × 599 = 1198

 

Therefore, the positive factor pairs of 1198 are: (1, 1198) and (2, 599). All these factor pairs result in 1198.

 

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

 

Step 1: Divide 1198 by 1, 1198 ÷ 1 = 1198.

 

Step 2: Continue dividing 1198 by the numbers until the remainder becomes 0.

1198 ÷ 1 = 1198

1198 ÷ 2 = 599

 

Therefore, the factors of 1198 are: 1, 2, 599, and 1198.

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Prime Factors and Prime Factorization

The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:

 

  • Using prime factorization
     
  • Using factor tree

 

Using Prime Factorization: In this process, prime factors of 1198 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1198 ÷ 2 = 599

599 ÷ 599 = 1

 

The prime factors of 1198 are 2 and 599.

 

The prime factorization of 1198 is: 2 × 599.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

 

Step 1: Firstly, 1198 is divided by 2 to get 599. Here, 599 is a prime number and cannot be divided further. So, the prime factorization of 1198 is: 2 × 599.

 

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

 

Positive factor pairs of 1198: (1, 1198) and (2, 599).

 

Negative factor pairs of 1198: (-1, -1198) and (-2, -599).

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Common Mistakes and How to Avoid Them in Factors of 1198

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Mistake 1

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Forgetting the number itself and 1 is a factor

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Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 1198, 1 and 1198 are also factors.

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Factors of 1198 Examples

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Problem 1

There are 2 large boxes and 1198 marbles. How will they be divided equally?

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They will get 599 marbles each.

Explanation

To divide the marbles equally, we need to divide the total marbles by the number of boxes.

1198/2 = 599

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Problem 2

A rectangular garden has a length of 599 meters, and the total area is 1198 square meters. Find the width?

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2 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width

1198 = 599 × width

To find the value of width, we need to shift 599 to the left side.

1198/599 = width

Width = 2.

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Problem 3

There are 1198 candies and 599 bags. How many candies will be in each bag?

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Each bag will have 2 candies.

Explanation

To find the candies in each bag, divide the total candies by the bags.

1198/599 = 2

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Problem 4

In a conference, there are 1198 participants, and 2 rooms. How many participants are there in each room?

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There are 599 participants in each room.

Explanation

Dividing the participants by the total rooms, we will get the number of participants in each room.

1198/2 = 599

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Problem 5

1198 books need to be arranged in 2 shelves. How many books will go on each shelf?

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Each of the shelves has 599 books.

Explanation

Divide total books by shelves.

1198/2 = 599

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FAQs on Factors of 1198

1.What are the factors of 1198?

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2.Mention the prime factors of 1198.

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3.Is 1198 a multiple of 2?

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4.Mention the factor pairs of 1198?

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5.What is the square of 1198?

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6.How can children in Philippines use numbers in everyday life to understand Factors of 1198?

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7.What are some fun ways kids in Philippines can practice Factors of 1198 with numbers?

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8.What role do numbers and Factors of 1198 play in helping children in Philippines develop problem-solving skills?

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9.How can families in Philippines create number-rich environments to improve Factors of 1198 skills?

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Important Glossaries for Factors of 1198

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1198 are 1, 2, 599, and 1198.

 

  • Prime factors: The factors which are prime numbers. For example, 2 and 599 are prime factors of 1198.

 

  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1198 are (1, 1198) and (2, 599).

 

  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1198 is 2 × 599.

 

  • Negative factors: Factors that include negative numbers. For example, the negative factors of 1198 are -1, -2, -599, and -1198.
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About BrightChamps in Philippines

At BrightChamps, numbers are more than just digits—they open doors to countless opportunities! Our goal is to help kids across the Philippines build essential math skills, with today’s focus on Factors of 1198 highlighting factors—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, tracking basketball scores, or managing their allowance to buy gadgets, strong number skills give them confidence for everyday tasks. Our hands-on lessons make learning simple and enjoyable. Since kids in the Philippines learn in different ways, we customize our approach to each child. From Manila’s busy streets to Palawan’s beautiful islands, BrightChamps brings math to life across the Philippines. Let’s make factors a fun part of every child’s math story!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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